I have tried mathematica, and it says it lacks the means to solve it:(adsbygoogle = window.adsbygoogle || []).push({});

The function

[tex]

g6_{\mu,\sigma}[x]

[/tex]

represents the SIXTH derivative of a normal distribution with unspecified parameters. I am looking to solve the relation:

[tex]

g6_{\mu,\sigma}[\mu+ \frac{\delta}{2}] + g6_{\mu,\sigma}[\mu - \frac{\delta}{2}] = 0

[/tex]

in terms of [tex]\delta[/tex]. I have a feeling that the answer does not depend on mu, just sigma.

The application is finding the minimum separation required between the central peaks of two 4-derivative gaussian curves such that there occur no inflections on the consolidated central peak. This is related to Sparrow's criterion.

Thank you very much for any help.

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# Can anyone solve this with software?

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